248414100480 has 2112 divisors, whose sum is σ = 1150774272000. Its totient is φ = 50721914880.

The previous prime is 248414100439. The next prime is 248414100521. The reversal of 248414100480 is 84001414842.

It is an interprime number because it is at equal distance from previous prime (248414100439) and next prime (248414100521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8013358065 + ... + 8013358095.

Almost surely, 2^248414100480 is an apocalyptic number.

248414100480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248414100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575387136000).

248414100480 is an abundant number, since it is smaller than the sum of its proper divisors (902360171520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248414100480 is a wasteful number, since it uses less digits than its factorization.

248414100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 248414100480 in words is "two hundred forty-eight billion, four hundred fourteen million, one hundred thousand, four hundred eighty".